Transcription of Finite Volume Method: A Crash introduction
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Finite Volume Method: A Crash introduction
Finite Volume Method: A Crash introduction Before continuing, we want to remind you that this a brief introduction to the FVM. Let us use the general transport equation as the starting point to explain the FVM, We want to solve the general transport equation for the transported quantity in a givendomain, with given boundary conditions BC and initial conditions IC. This is a second order equation. For good accuracy, it is necessary that the order of the discretization is equal or higher than the order of the equation that is being discretized. By the way, starting from this equation we can write down the Navier-Stokes equations (NSE). So everything we are going to address also applies to the NSE.
• Inside each control volume the solution is sought. • The control volumes can be of any shape (e.g., tetrahedrons, hexes, prisms, pyramids, dodecahedrons, and so on). • The only requirement is that the elements need to be convex and the faces that made up …
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